Acta mathematica scientia,Series B

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THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS

Ma Shixia; Xing Yongsheng   

  1. School of Mathematical Sciences, Nankai University, Tianjin 300071, China
  • Received:2004-01-17 Revised:2004-11-13 Online:2006-10-20 Published:2006-10-20
  • Contact: Ma Shixia

Abstract:

In this article the supercritical bisexual Galton--Watson branching processes with the immigration of mating units is considered. A necessary condition for the almost sure convergence, and a sufficient condition for the L1 convergence are given for the process with the suitably normed condition.

Key words: Bisexual Galton-Watson branching processes, immigration, almost sure convergence, L1-convergence

CLC Number: 

  • 60J80
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